%0 Journal Article
%T Prise en compte des non-lin¨¦arit¨¦s g¨¦om¨¦triques dans la mod¨¦lisation de la compaction des s¨¦diments Geometrical Non-Linearities in the Modelling of Compaction
%A Bourgeois E.
%A Dormieux L.
%J Oil & Gas Science and Technology
%D 2006
%I Institut Fran?ais du P¨¦trole
%R 10.2516/ogst:1997002
%X Les contributions successives de diff¨¦rents auteurs ont permis d'identifier les ph¨¦nom¨¨nes mis en jeu dans la compaction des s¨¦diments, puis de proposer des mod¨¦lisations m¨¦caniques coh¨¦rentes de ce processus. On s'int¨¦resse ici aux non-lin¨¦arit¨¦s g¨¦om¨¦triques dues ¨¤ la forte diminution de la porosit¨¦: elles imposent de renoncer ¨¤ employer la d¨¦formation de Green-Lagrange lin¨¦aris¨¦e. On adopte une loi de comportement adapt¨¦e aux grandes transformations d'un milieu poreux ¨¦lastique dont les constituants sont incompressibles pour ¨¦tudier la diminution de porosit¨¦ li¨¦e aux ph¨¦nom¨¨nes purement m¨¦caniques intervenant dans la compaction. The numerous works devoted to the phenomena involved in the compaction of sediments have led to a good understanding and to mechanically consistent modellings of this process. During compaction, large reduction of porosity occurs and the sediments undergo large strains : in this context, the usual linearized Green-Lagrange strain tensor is no longer relevant. Using the constitutive law of a poroelastic medium (made of incompressible constituents) at large strains, we discuss the influence of geometrical nonlinearities in the study of purely mechanical compaction.
%U http://dx.doi.org/10.2516/ogst:1997002